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%I #7 Jul 15 2016 16:53:44
%S 1,1,1,1,1,2,4,8,16,40,100,250,625,1875,5625,16875,50625,175500,
%T 608400,2109120,7311616,28543424,111429136,435002204,1698181681,
%U 7336479479,31695036961,136928804999,591559418641,2792538190620,13182563408400,62230116888000
%N Number of set partitions of [n] such that i-j is a multiple of four for all i,j belonging to the same block.
%H Alois P. Heinz, <a href="/A275071/b275071.txt">Table of n, a(n) for n = 0..739</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>
%F a(n) = Product_{i=0..3} A000110(floor((n+i)/4)).
%e a(9) = 40: 159|26|37|48, 15|26|37|48|9, 159|26|37|4|8, 15|26|37|4|8|9, 159|26|3|48|7, 15|26|3|48|7|9, 159|26|3|4|7|8, 15|26|3|4|7|8|9, 159|2|37|48|6, 15|2|37|48|6|9, 159|2|37|4|6|8, 15|2|37|4|6|8|9, 159|2|3|48|6|7, 15|2|3|48|6|7|9, 159|2|3|4|6|7|8, 15|2|3|4|6|7|8|9, 19|26|37|48|5, 1|26|37|48|59, 1|26|37|48|5|9, 19|26|37|4|5|8, 1|26|37|4|59|8, 1|26|37|4|5|8|9, 19|26|3|48|5|7, 1|26|3|48|59|7, 1|26|3|48|5|7|9, 19|26|3|4|5|7|8, 1|26|3|4|59|7|8, 1|26|3|4|5|7|8|9, 19|2|37|48|5|6, 1|2|37|48|59|6, 1|2|37|48|5|6|9, 19|2|37|4|5|6|8, 1|2|37|4|59|6|8, 1|2|37|4|5|6|8|9, 19|2|3|48|5|6|7, 1|2|3|48|59|6|7, 1|2|3|48|5|6|7|9, 19|2|3|4|5|6|7|8, 1|2|3|4|59|6|7|8, 1|2|3|4|5|6|7|8|9.
%Y Column k=4 of A275069.
%Y Cf. A000110.
%K nonn
%O 0,6
%A _Alois P. Heinz_, Jul 15 2016
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